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Finding the Fourth Proportional to 15,970.65, 22,039.38 and 9,256.17

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Solution

The fourth proportional to 15,970.65, 22,039.38 and 9,256.17 is: 12,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.65 : 22,039.38 = 9,256.17 : x
  2. Step 2: Convert to fraction form
    15,970.65/22,039.38 = 9,256.17/x
  3. Step 3: Cross multiply
    15,970.65x = 22,039.38 × 9,256.17
  4. Step 4: Simplify right side
    15,970.65x = 204,000,247.97
  5. Step 5: Solve for x
    x = 204,000,247.97/15,970.65
  6. Step 6: Final answer
    x = 12,773.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.